An outline of linear algebra, covering topics such as orthogonality, determinants, eigenvalues and eigenvectors, systems of linear equations, vectors in Rn and Cn, spatial vectors, matrices, product spaces, and systems of linear equations.
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Book Description
Editorial Reviews
From the Back Cover
Master linear algebra with Schaumsthe high-performance study guide. It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!
Students love Schaums Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides. Get the edge on your classmates. Use Schaums! If you don't have a lot of time but want to excel in class, this book helps you: Brush up before tests;
Find answers fast; Study quickly and more effectively; Get the big picture without spending hours poring over lengthy textbooks. Schaums Outlines give you the information teachers expect you to know in a handy and succinct formatwithout overwhelming you with unnecessary details. You get a complete overview of the subject. Plus, you get plenty of practice exercises to test your skill. Compatible with any classroom text, Schaums lets you study at your own pace and reminds you of all the important facts you need to rememberfast! And Schaums are so complete, theyre perfect for preparing for graduate or professional exams. Inside, you will find: 1360 detailed problems with step-by-step solutions; Clear, concise explanations of linear equations, vectors, matrices, and more; Help with linear operators, Eigenvalues, canonical forms, and more; A solved-problem approach that teaches you with hands-on help; Exercises for improving your problem-solving skills. If you want top grades and thorough understanding of linear algebra, this powerful study tool is the best tutor you can have!
Chapters include: Systems of Linear Equations. Vectors in R and C, Spatial Vectors. Matrices. Square Matrices, Elementary Matrices. Vector Spaces. Inner Product Spaces, Orthogonality. Determinants. Eigenvalues and Eigenvectors, Diagonalization. Linear Mappings, Matrices and Linear Mappings. Canonical Forms. Linear Operators on Inner Product Spaces. Polynomials Over a Field.
About the Author
Seymour Lipschutz, Ph.D. (Philadelphia, PA), is presently on the Mathematics faculty at Temple Univeristy. He has written more than 15 Schaum's Outlines. Marc Lipson, Ph.D. (Philadelphia, PA), is on the mathematical faculty of the University of Georgia. He is co-author of Schaum's Outline of Discrete Mathematics.
--This text refers to an out of print or unavailable edition of this title.
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Most Helpful Customer Reviews
26 of 27 people found the following review helpful:
5.0 out of 5 stars
Comprehensive overview of linear algebra,
By
This review is from: Schaum's Outline of Linear Algebra (Paperback)
This book is an incredible value! It covers all major topics in the field of linear algebra, in fact, many more topics than some more expensive texts. This book has many theorems with proofs as well as example problems and applications. My only complaints about this book are that the coverage of theory is a bit terse, and the proofs to many of the theorems are found in the exercises section at the end of the chapter, rather than immediately after the theorem. The terseness means that, without prior exposure to linear algebra, it would be a bit difficult to teach yourself strictly from this book. But with a little bit of background, this book should be no trouble at all. A "real" textbook would get a lower rating for these types of complaints, but since this book costs less than $13, there is no reason not to get it.
19 of 19 people found the following review helpful:
3.0 out of 5 stars
easy to learn with this book, but too many mistakes,
By ocean78 (Philadelphia, PA USA) - See all my reviews
This review is from: Schaum's Outline of Linear Algebra (Paperback)
i'm currently taking linear algebra from one of the authors of this book. the first day of class the instructor passed out a corrections sheet for the book. even with the corrections sheet, i found many wrong answers in the answer sections.the pros the cons
16 of 16 people found the following review helpful:
5.0 out of 5 stars
Better than my texbooks,
By
This review is from: Schaum's Outline of Linear Algebra (Paperback)
I have learned more about Linear Algebra from this single book than all my other assorted (and fairly expensive!) texbooks combined; and, for that matter, more than my college class on the subject too. I'm now studying Differential Geometry and I always have this book nearby (in addition to two other Shaum's Outlines: that of Vector Analysis and Differential Geometry). Every textbook has something to offer - at least I usually give them the benefit of the doubt ;-). But for gaining a "working knowledge" of abstract mathematical concepts, there's nothing so enlightening than studying the details of problem solving performed with delightful clarity by an expert in the field. In this book you can become the apprentice to Seymour Lipschutz as he reveals the mysteries that often form clouds in the minds of students of Linear Algebra. Frequently, when working in this text, I would suddenly understand something that seemed so complex or obscure in my other LA texts. Actually, I could then see what those other texts were attempting to convey but because of their particular styles, they were just a bit "pedagogically challenged" :-)
Anyway, for me, this book is worth more than any pricey textbook on the subject. Just buy it and use it! You'll begin to see how cool Linear Algebra really is. Beware - mathematics at this level and beyond can be very addictive! DH
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First Sentence:
There are two ways to motivate the notion of a vector: one is by means of lists of numbers and subscripts, and the other is by means of certain objects in physics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
distinct linear polynomials, using unknown scalars, row canonical form, elementary matrix corresponding, following symmetric matrices, find formulas defining, diagonal matrix relative, one independent solution, find the coordinate vector, set corresponding entries, square block matrix, same row space, pivot variables, echelon matrix, following linear maps, corresponding column operation, echelon matrices, two nonzero rows, primary decomposition theorem, preceding vectors, echelon form, row equivalence, diagonal matrix representation, pivot entry, find the characteristic polynomial Key Phrases - Capitalized Phrases (CAPs): (learn more)
Prove Theorem, Supplementary Problems, Solved Problems, Forward Elimination, Repeat Problem, Prove Lemma, Apply Algorithm, Backward Elimination, Linear Property, Repeat Step, Suppose Jul New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
There are two ways to motivate the notion of a vector: one is by means of lists of numbers and subscripts, and the other is by means of certain objects in physics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
distinct linear polynomials, using unknown scalars, row canonical form, elementary matrix corresponding, following symmetric matrices, find formulas defining, diagonal matrix relative, one independent solution, find the coordinate vector, set corresponding entries, square block matrix, same row space, pivot variables, echelon matrix, following linear maps, corresponding column operation, echelon matrices, two nonzero rows, primary decomposition theorem, preceding vectors, echelon form, row equivalence, diagonal matrix representation, pivot entry, find the characteristic polynomial Key Phrases - Capitalized Phrases (CAPs): (learn more)
Prove Theorem, Supplementary Problems, Solved Problems, Forward Elimination, Repeat Problem, Prove Lemma, Apply Algorithm, Backward Elimination, Linear Property, Repeat Step, Suppose Jul New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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